Math 10: Elementary Statistics

by Zoya Kravets

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Students study and demonstrate knowledge and understanding of descriptive and inferential statistics including data analysis, correlation and linear regression, probability, probability distributions and assorted hypothesis testing. Particular emphasis is placed on applications.

Description from LibreTexts.

Publisher
Mission College
Subjects
Mathematics
Licence
CC BY 4.0, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Sampling and Data
  7. 1.1: Introduction
  8. 1.2: Definitions of Statistics, Probability, and Key Terms
  9. 1.3: Data, Sampling, and Variation in Data and Sampling
  10. 1.4: Frequency, Frequency Tables, and Levels of Measurement
  11. 1.5: Experimental Design and Ethics
  12. 1.6: Data Collection Experiment (Worksheet)
  13. 1.7: Sampling Experiment (Worksheet)
  14. 1.E: Sampling and Data (Exercises)
  15. 2: Descriptive Statistics
  16. 2.1: Prelude to Descriptive Statistics
  17. 2.2: Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
  18. 2.3: Histograms, Frequency Polygons, and Time Series Graphs
  19. 2.4: Measures of the Location of the Data
  20. 2.4E: Measures of the Location of the Data (Exercises)
  21. 2.5: Box Plots
  22. 2.6: Measures of the Center of the Data
  23. 2.7: Skewness and the Mean, Median, and Mode
  24. 2.8: Measures of the Spread of the Data
  25. 2.9: Descriptive Statistics (Worksheet)
  26. 2.E: Descriptive Statistics (Exercises)
  27. 3: Probability Topics
  28. 3.1: Introduction
  29. 3.2: Terminology
  30. 3.3: Independent and Mutually Exclusive Events
  31. 3.4: Two Basic Rules of Probability
  32. 3.5: Contingency Tables
  33. 3.6: Tree and Venn Diagrams
  34. 3.7: Probability Topics (Worksheet)
  35. 3.E: Probability Topics (Exericses)
  36. 4: Discrete Random Variables
  37. 4.1: Prelude to Discrete Random Variables
  38. 4.2: Probability Distribution Function (PDF) for a Discrete Random Variable
  39. 4.3: Mean or Expected Value and Standard Deviation
  40. 4.4: Binomial Distribution
  41. 4.5: Geometric Distribution
  42. 4.6: Hypergeometric Distribution
  43. 4.7: Poisson Distribution
  44. 4.8: Discrete Distribution (Playing Card Experiment)
  45. 4.9: Discrete Distribution (Lucky Dice Experiment)
  46. 4.E: Discrete Random Variables (Exercises)
  47. 5: Continuous Random Variables and The Normal Distribution
  48. 5.1: Continuous Probability Functions
  49. 5.2: Prelude to The Normal Distribution
  50. 5.3: The Standard Normal Distribution
  51. 5.4: Using the Normal Distribution
  52. 5.5: The Uniform Distribution
  53. 5.6: The Exponential Distribution
  54. 5.7: Continuous Distribution (Worksheet)
  55. 5.8: Normal Distribution - Lap Times (Worksheet)
  56. 5.9: Normal Distribution - Pinkie Length (Worksheet)
  57. 5.E: The Normal Distribution (Exercises)
  58. 1.1: The Standard Normal Distribution (Exercises)
  59. 6: The Central Limit Theorems
  60. 6.1: Prelude to the Central Limit Theorem
  61. 6.2: The Central Limit Theorem for Sample Means (Averages)
  62. 6.2E: The Central Limit Theorem for Sample Means (Exercises)
  63. 6.3: The Central Limit Theorem for Sample Proportions
  64. 6.4: Using the Central Limit Theorem
  65. 6.4E: Using the Central Limit Theorem (Exercises)
  66. 6.5: Central Limit Theorem - Pocket Change (Worksheet)
  67. 6.6: Central Limit Theorem - Cookie Recipes (Worksheet)
  68. 6.E: The Central Limit Theorem (Exercises)
  69. 7: Estimation and Confidence Intervals
  70. 7.1: Process of Estimation - Introduction to Confidence Intervals
  71. 7.2: Estimating a Population Proportion
  72. 7.3: Estimating a Population Mean
  73. 7.4: Confidence Interval - Home Costs (Worksheet)
  74. 7.5: Confidence Interval -Place of Birth (Worksheet)
  75. 7.6: Confidence Interval -Women's Heights (Worksheet)
  76. 7.7: A Single Population Mean using the Normal Distribution
  77. 7.7E: A Single Population Mean using the Normal Distribution (Exercises)
  78. 7.E: Confidence Intervals (Exercises)
  79. 7.S: Confidence Intervals (Summary)
  80. 8: Hypothesis Testing with One Sample
  81. 8.1: Prelude to Hypothesis Testing
  82. 8.2: Null and Alternative Hypotheses
  83. 8.2E: Null and Alternative Hypotheses (Exercises)
  84. 8.3: Outcomes and the Type I and Type II Errors
  85. 8.3E: Outcomes and the Type I and Type II Errors (Exercises)
  86. 8.4: Distribution Needed for Hypothesis Testing
  87. 8.4E: Distribution Needed for Hypothesis Testing (Exercises)
  88. 8.5: Rare Events, the Sample, Decision and Conclusion
  89. 8.5E: Rare Events, the Sample, Decision and Conclusion (Exercises)
  90. 8.6: Hypothesis Test of a Single Population Mean with Examples
  91. 8.7: Hypothesis Test of Single Population Proportion with Examples
  92. 8.8: More on Hypothesis Testing of a Single Mean and Single Proportion
  93. 8.E: Hypothesis Testing with One Sample (Exercises)
  94. 9: Hypothesis Testing with Two Samples
  95. 9.1: Prelude to Hypothesis Testing with Two Samples
  96. 9.2: Comparing Two Independent Population Means (Hypothesis test)
  97. 9.3: Comparing Two Independent Population Proportions (Hyppothesis test)
  98. 9.4: Matched or Paired Samples
  99. 9.5: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
  100. 9.E: Hypothesis Testing with Two Samples (Exercises)
  101. 10: Linear Regression and Correlation
  102. 10.1: Prelude to Linear Regression and Correlation
  103. 10.2: Linear Equations
  104. 10.2E: Linear Equations (Exercises)
  105. 10.3: Scatter Plots
  106. 10.3E: Scatter Plots (Exercises)
  107. 10.4: The Regression Equation
  108. 10.4E: The Regression Equation (Exercise)
  109. 10.5: Testing the Significance of the Correlation Coefficient
  110. 10.5E: Testing the Significance of the Correlation Coefficient (Exercises)
  111. 10.6: Prediction
  112. 10.6E: Prediction (Exercises)
  113. 10.7: Outliers and Residuals
  114. 10.7E: Outliers (Exercises)
  115. 10.8: Regression - Distance from School (Worksheet)
  116. 10.9: Regression - Textbook Cost (Worksheet)
  117. 10.10: Regression - Fuel Efficiency (Worksheet)
  118. 10.E: Linear Regression and Correlation (Exercises)
  119. 11: F Distribution and One-Way ANOVA
  120. 11.1: Prelude to F Distribution and One-Way ANOVA
  121. 11.2: F Distribution
  122. 11.3: Multiple Comparisons
  123. 11.4: One-Factor ANOVA
  124. 11.5: Test of Two Variances
  125. 11.6: Lab- One-Way ANOVA
  126. 11.E: F Distribution and One-Way ANOVA (Exercises)
  127. 12: The Chi-Square Distribution and Chi-Square Tests
  128. 12.1: Prelude to The Chi-Square Distribution
  129. 12.2: Facts About the Chi-Square Distribution
  130. 12.3: Goodness-of-Fit Test
  131. 12.4: Test of Independence
  132. 12.5: Test for Homogeneity
  133. 12.6: Comparison of the Chi-Square Tests
  134. 12.7: Test of a Single Variance
  135. 12.8: Lab 1- Chi-Square Goodness-of-Fit (Worksheet)
  136. 12.9: Lab 2- Chi-Square Test of Independence (Worksheet)
  137. 12.E: The Chi-Square Distribution (Exercises)
  138. Back Matter
  139. Index
  140. Glossary
  141. Detailed Licensing